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Question

# Nisha goes to a shop to buy a box costing Rs. 981. The rate of the sales tax is 9 %. She tells the shopkeepers to allow a discount on the price of the box to such an extent that she pays Rs. 981 inclusive all the tax. Find the discount in the price of the box.

A

Rs. 143

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B

Rs. 81

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C

Rs. 91

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D

Rs. 111

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Solution

## The correct option is B Rs. 81 Let the reduced price of the box after the discount be Rs. x. Then, Sales tax = (9% of Rs.x) = Rs. (9x100) S.P = Rs.(x+(9x100)) = Rs. (109x100) It is given that the selling price should be Rs. 981. Therefore, (109x100) = 981 ⇒ x = 900 Thus, reduced price of the box after discount = Rs. 900 Hence, reduction needed in the price of the box = (Rs. 981 - 900) = Rs. 81.

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